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Finding the Fourth Proportional to 141,605.42, 195,408.06 and 77,931.06

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Solution

The fourth proportional to 141,605.42, 195,408.06 and 77,931.06 is: 107,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,605.42 : 195,408.06 = 77,931.06 : x
  2. Step 2: Convert to fraction form
    141,605.42/195,408.06 = 77,931.06/x
  3. Step 3: Cross multiply
    141,605.42x = 195,408.06 × 77,931.06
  4. Step 4: Simplify right side
    141,605.42x = 15,228,357,248.34
  5. Step 5: Solve for x
    x = 15,228,357,248.34/141,605.42
  6. Step 6: Final answer
    x = 107,540.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.